They believe in whatever happens to appeal to them or appear convincing in the moment. If they ever begin to suspect that there is or could be a difference between their perceptions and the reality beyond them, they are quick to disregard, ignore, or trivialize this doubt. Of course, it is impossible to ever truly understand the inherent truth of logical axioms or their whole metaphysical and epistemological nature by focusing on mere sensory perceptions, emotions, hearsay, and preferences. Since logical axioms are the only things that in themselves cannot be false or cannot have been any other way, these irrationalists are preventing themselves from knowing the heart of all things. This kind of person will never know the true nature of reality--that it is entirely governed by the laws of logic and that nothing can be known apart from them, even when there are things besides logic in existence (their own mind, the external world, and so on).
Sheer force of emotion, societal pressures, preference, and terror at the thought of being stupid and wrong motivates them to hold to whatever contradictions (impossibilities) and assumptions (unproven or unprovable concepts) they find intoxicating or persuasive. Which things they subjectively perceive to be persuasive, for persuasion on its own is nothing but subjective, will almost certainly change from one point in their life to another, yet they will always believe that their irrationalistic beliefs are valid or at least not abandon them upon realizing they were only assumptions. There is nothing about their worldview that aligns with reality except by accident, and even then they cannot truly know where the overlap is present because they are enslaved by assumptions and unexamined ideas.
Subjective persuasion is meaningless and inherently arbitrary, having only to do with whatever randomly satisfies someone personally rather than what is both true by necessity and logically demonstrable. Being convinced and being rationalistic are not at all the same thing! A rationalist, however, is persuaded metaphysically by logical truths because they cannot have been any other way. A rationalist is persuaded epistemologically by logical truths because a necessary truth, a truth that in itself cannot be illusory or that cannot be anything other than true, is absolutely certain. That which cannot be false or misperceived other than intentionally is not uncertain, no matter how abstract it is or how strange it might seem. Persuasion by logical truths is to tether one's beliefs to objective reality, while subjective persuasion is universally invalid.
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